Part of modern poem (3)
I believe the answer is:
ode
'poem' is the definition.
(ode is a type of poem)
'part of modern' is the wordplay.
'part of' indicates a hidden word.
'ODE' can be found hidden inside 'modern'.
(Other definitions for ode that I've seen before include "Poem in praise of doe" , "Literary work" , "Lyric poem" , "- - to a 12 Urn" , "Lines" .)