I've never had a dwarf hamster but I've had the same problem with my pet rat I put some chicken wiring around it the I got from home depot and now it can't out.
1-2	I've	_	_	_	_	_	_	_	_
1	I	I	PRON	PRP	Case=Nom|Number=Sing|Person=1|PronType=Prs	4	nsubj	4:nsubj	_
2	've	have	AUX	VBP	Mood=Ind|Number=Sing|Person=1|Tense=Pres|VerbForm=Fin	4	aux	4:aux	_
3	never	never	ADV	RB	_	4	advmod	4:advmod	_
4	had	have	VERB	VBN	Tense=Past|VerbForm=Part	0	root	0:root	_
5	a	a	DET	DT	Definite=Ind|PronType=Art	7	det	7:det	_
6	dwarf	dwarf	ADJ	JJ	Degree=Pos	7	amod	7:amod	_
7	hamster	hamster	NOUN	NN	Number=Sing	4	obj	4:obj	_
8	but	but	CCONJ	CC	_	11	cc	11:cc	_
9-10	I've	_	_	_	_	_	_	_	_
9	I	I	PRON	PRP	Case=Nom|Number=Sing|Person=1|PronType=Prs	11	nsubj	11:nsubj	_
10	've	have	AUX	VBP	Mood=Ind|Number=Sing|Person=1|Tense=Pres|VerbForm=Fin	11	aux	11:aux	_
11	had	have	VERB	VBN	Tense=Past|VerbForm=Part	4	conj	4:conj:but	_
12	the	the	DET	DT	Definite=Def|PronType=Art	14	det	14:det	_
13	same	same	ADJ	JJ	Degree=Pos	14	amod	14:amod	_
14	problem	problem	NOUN	NN	Number=Sing	11	obj	11:obj	_
15	with	with	ADP	IN	_	18	case	18:case	_
16	my	my	PRON	PRP$	Case=Gen|Number=Sing|Person=1|Poss=Yes|PronType=Prs	18	nmod:poss	18:nmod:poss	_
17	pet	pet	NOUN	NN	Number=Sing	18	compound	18:compound	_
18	rat	rat	NOUN	NN	Number=Sing	14	nmod	14:nmod:with	_
19	I	I	PRON	PRP	Case=Nom|Number=Sing|Person=1|PronType=Prs	20	nsubj	20:nsubj	_
20	put	put	VERB	VBD	Mood=Ind|Number=Sing|Person=1|Tense=Past|VerbForm=Fin	11	parataxis	11:parataxis	_
21	some	some	DET	DT	_	23	det	23:det	_
22	chicken	chicken	NOUN	NN	Number=Sing	23	compound	23:compound	_
23	wiring	wiring	NOUN	NN	Number=Sing	20	obj	20:obj	_
24	around	around	ADP	IN	_	25	case	25:case	_
25	it	it	PRON	PRP	Case=Acc|Gender=Neut|Number=Sing|Person=3|PronType=Prs	20	obl	20:obl:around	_
26	the	that	PRON	WDT	PronType=Rel|Typo=Yes	28	obj	23:ref	CorrectForm=that
27	I	I	PRON	PRP	Case=Nom|Number=Sing|Person=1|PronType=Prs	28	nsubj	28:nsubj	_
28	got	get	VERB	VBD	Mood=Ind|Number=Sing|Person=1|Tense=Past|VerbForm=Fin	23	acl:relcl	23:acl:relcl	_
29	from	from	ADP	IN	_	31	case	31:case	_
30	home	home	PROPN	NNP	Number=Sing	31	compound	31:compound	_
31	depot	depot	PROPN	NNP	Number=Sing	28	obl	28:obl:from	_
32	and	and	CCONJ	CC	_	37	cc	37:cc	_
33	now	now	ADV	RB	_	37	advmod	37:advmod	_
34	it	it	PRON	PRP	Case=Nom|Gender=Neut|Number=Sing|Person=3|PronType=Prs	37	nsubj	37:nsubj	_
35-36	can't	_	_	_	_	_	_	_	_
35	ca	can	AUX	MD	VerbForm=Fin	37	aux	37:aux	_
36	n't	not	PART	RB	_	37	advmod	37:advmod	_
37	out	out	ADV	RB	_	20	conj	20:conj:and	SpaceAfter=No
38	.	.	PUNCT	.	_	4	punct	4:punct	_
