Chap gets hamster, say, with hesitation (5)
I believe the answer is:
peter
'chap' is the definition.
(Peter is a man's name)
'hamster say with hesitation' is the wordplay.
'hamster say' becomes 'pet' (hamsters are often kept as pets).
'with' says to put letters next to each other.
'hesitation' becomes 'er' (sound used when hesitating).
'pet'+'er'='PETER'
'gets' is the link.
(Other definitions for peter that I've seen before include "Boy's name (maybe blue)" , "and 16: Actor who played Hercule Poirot" , "and 14 dn Latest actor to play Doctor Who" , "- Grimes (Britten)" , "In whist, play" .)