Kid showing a profit around end of term (5)
I believe the answer is:
gamin
'kid' is the definition.
(gamin is a kind of kid)
'a profit around end of term' is the wordplay.
'a profit' becomes 'gain' ('gain' can be a synonym of 'profit'**).
'around' indicates putting letters inside.
'end of' says to take the final letters.
The last letter of 'term' is 'm'.
'gain' enclosing 'm' is 'GAMIN'.
'showing' acts as a link.
(Other definitions for gamin that I've seen before include "Ragged child" , "Little devil" , "stray" , "Waif" , "Street kid" .)