Keen to wrap small present (4)
I believe the answer is:
host
'present' is the definition.
(I've seen this before)
'keen to wrap small' is the wordplay.
'keen' becomes 'hot' (I've seen this in other clues).
'to wrap' means one lot of letters goes inside another.
'small' becomes 's' (abbreviation - e.g. clothes size).
'hot' going around 's' is 'HOST'.
(Other definitions for host that I've seen before include "This man entertains" , "Provide entertainment" , "Multitude - emcee" , "Army; publican" , "great many!" .)