Shut chains around cage (5)
I believe the answer is:
hutch
'cage' is the definition.
(I know that hutch is a type of cage)
'shut chains around' is the wordplay.
'around' says the answer is hidden in the clue.
'HUTCH' is hidden within 'shut chains'.
(Other definitions for hutch that I've seen before include "Cage for rabbit?" , "Domesticated rabbit's home" , "Animal house" , "Pet rabbit's home" , "Cage for small animals" .)