Almost axe Irish singing group (5)
I believe the answer is:
choir
'singing group' is the definition.
(I've seen this before)
'almost axe irish' is the wordplay.
'almost' means to remove the last letter (most of the word but not all of it).
'axe' becomes 'chop' (I've seen this before).
'irish' becomes 'IR' (abbreviation).
'chop' with its last letter taken away is 'cho'.
'cho'+'ir'='CHOIR'
(Other definitions for choir that I've seen before include "Organised group of singers" , "set of singers" , "Religious singers" , "Band of singers" , "Religious chorus, perhaps" .)