Game to pen an ode, oddly, or another poem (7)
I believe the answer is:
rondeau
'another poem' is the definition.
'rondeau' can be an answer for 'poem' (rondeau is a kind of poem). I am unsure of the 'another' bit.
'game to pen an ode oddly' is the wordplay.
'game' becomes 'ru' (rugby union).
'to pen' is an insertion indicator.
'oddly' is an anagram indicator.
'an'+'ode'='anode'
'anode' with letters rearranged gives 'ondea'.
'ru' going around 'ondea' is 'RONDEAU'.
'or' is the link.
(Other definitions for rondeau that I've seen before include "form of music" , "Poem of ten or thirteen lines" , "set of lines" , "Style of poem" , "Short lyrical poem" .)