Hardy’s poem half ignored — strange poem (8)
I believe the answer is:
rhapsody
'poem' is the definition.
(rhapsody is a kind of poem)
'hardy's poem half ignored strange' is the wordplay.
'half ignored' indicates taking half.
'strange' indicates anagramming the letters.
'poem' cut in half is 'po'.
'hardys'+'po'='hardyspo'
'hardyspo' anagrammed gives 'RHAPSODY'.
(Other definitions for rhapsody that I've seen before include "Emotional and improvised piece of music" , "Ecstatic piece" , "Emotional musical piece - epic poem" , "Ecstasy" , "Exalted, free-style, composition" .)