Give her my new poem (5)
I believe the answer is:
rhyme
'poem' is the definition.
(I know that rhyme is a type of poem)
'give her my new' is the wordplay.
'give' is a charade indicator (letters next to each other).
'new' is an anagram indicator.
'her' put next to 'my' is 'hermy'.
'hermy' is an anagram of 'RHYME'.
(Other definitions for rhyme that I've seen before include "End with a similar sound" , "(Of words) sound the same" , "Versification (which goes with reason)" , "anticipated by a nursery perhaps" , "Correspondence in the sounds of two or more lines" .)