in the following description of the invention like reference numerals will be used to refer to like or similar parts from figure to figure . referring first to fig1 the handle grip of this invention is indicated generally at 10 in fig1 . the grip consists of a top half , indicated generally at 11 , and a bottom half , indicated generally at 12 . the top half 11 has an elongated finger grip section 13 which terminates in two inwardly extending ends 14 , 15 . the top half 11 may optionally have a recessed area 16 in which a trademark or other identifying indicia may appear , as by raised letters ( not shown ). the handle grip is preferably made of silicone rubber having a durometer value of 70 ± 5 and should be self - extinguishing and conform to all applicable fda requirements . as will be apparent from fig2 and 4 , the cross - sectional shape of the handle grip is generally elliptical , the upper end 15 , for example , having an angled portion 18 between its flat surface 19 and outer edge surface 20 . the bottom half 12 of the grip has an elongated finger grip section 22 which terminates in two inwardly extending ends 23 , 24 . the bottom half 12 also has a pair of raised ridges 25 , 26 which function to increase the resistance to slippage between the fingers of the user and the grip . the bottom half 12 , like the top half 11 , has angled surface 27 between its flat surface 28 , see fig2 and outer edge surface 29 which is a continuation of surface 20 . the two halves 11 and 12 have mating internal recesses which define a generally u - shaped internal cavity indicated generally at 31 . the cavity 31 includes first recess 32 in top half 11 and a second recess 33 in bottom half 12 . the cross section shape of the recess is such as to snugly receive the shape of a cookware vessel metal handle as will be described below . the halves are defined , in effect , by a slit 35 which extends from the inside of end 15 to the inside of end 14 . from fig2 it will be noted that one side of the slit terminates in the inside surface 36 of the cavity in end 15 , and the other side of the slit terminates in the inside surface 37 of end 14 . the slit extends through the inside , or left side , of finger grip section 13 so that access is provided to the internal cavity 31 about its entire inner side . although the slit is shown as centered on inside surfaces 36 and 37 , it could be aligned with a long wall of the cavity 31 . a pair of locking dogs are shown at 40 and 41 . the locking dogs are formed integrally with the handle grip and project into the internal cavity 31 from , in this instance , the top half 11 of the grip . referring now to fig5 and 6 , a portion of the wall of a cookware vessel is indicated at 44 and a looped metal handle is indicated generally at 45 . the handle 45 includes two legs 46 , 47 , which are secured to the wall 44 by any suitable fasteners 48 , 49 . the legs 46 , 47 extend upwardly to a smooth junction with spacer arms 50 , 51 , see fig6 which extend outwardly to a smooth junction with grip section 52 . as can be best visualized from fig6 and the ends 53 , 54 of arms 46 , 47 , respectively , the cross section shape of the metal handle is rectangular , and of a size to be accommodated in the internal cavity 31 of the handle grip 10 . a pair of apertures 56 , 57 are shown in the junction areas between the spacer arms 50 , 51 and the grip section 52 . from a comparison of the positions of the holes 56 , 57 in the metal handle 45 with the positions of the locking dogs 40 , 41 in handle grip 10 , it will be appreciated that , when the handle grip 10 is assembled to the metal handle 45 , the locking dogs 40 , 41 will be received in the holes 56 , 57 . thus , in addition to the ( a ) frictional resistance between the rubber of handle grip 10 and the metal of handle 45 , and ( b ) the abutment of inside surfaces 36 and 37 against the inside edge 58 , see fig5 of handle 45 , there will be ( c ) the mechanical locking action provided by the penetration of the locking dogs into holes 56 , 57 , all acting to resist separation of the rubber handle grip 10 from the metal handle 45 . the locking dogs will provide shearing resistance to separation of the grip from the handle . it will be understood that the slit 35 together with the long dimensions of the internal cavity ends 14 and 15 provide easy assembly of the grip 10 to handle 45 since the grip 10 is rubber and hence easily deformed by gentle hand pressure directed in a direction to push the grip 10 onto the handle 45 . it will also be noted that a substantial thickness of rubber surrounds the metal handle at every point of contact between the grip and the handle so that there is always a substantial layer of heat insulation material between the hand of the user and the hot metal handle . the grip 10 may , of course , be left on the stock pot as it is heated on an open burner . alternatively , the user may press a grip 10 on each of the two handles on opposite sides of the stock pot by pushing toward one another just before removal of the stock pot from the stove . in a baking context , the user will usually assemble the grip to the handles just after the oven door is opened and while the stock pot rests on a shelf in the oven . the slit 35 enables the user to quickly slip the grip over the metal handle so as to expose the hands of the user to the oven heat for only a minimum of time . a particular advantage of the invention is that the rubber grips may be easily removed from the stock pot either before or after the stock pot is put into a sink preparatory to washing following use , and , in view of the relatively smooth internal and external contour of the grip , cleaning liquid easily reaches all surfaces on and in the grip . thus the possibility of food particles being retained on either the handle or the grip following washing is met . although a specific embodiment has been illustrated and described , it will at once be apparent those skilled in the art that modifications may be made within the spirit of the invention . accordingly it is intended that the scope of the invention be limited not by the foregoing description but solely by the scope of the hereafter appended claims when interpreted in light of the relevant prior art .