Offer to take exercise like a man (5)
I believe the answer is:
biped
'man' is the definition.
(humans are an example)
'offer to take exercise' is the wordplay.
'offer' becomes 'bid' (synonyms).
'to take' is an insertion indicator (inserted letters are taken in).
'exercise' becomes 'pe' (Physical Education).
'bid' placed around 'pe' is 'BIPED'.
'like a' is the link.
(Other definitions for biped that I've seen before include "Two legged creature" , "Two-footed creature" , "Two-footed animal" , "Walker on two feet" , "Using two pins" .)