Woodcutter has a nap, ignoring hole (4)
I believe the answer is:
adze
'woodcutter' is the definition.
(axe-like tool)
'a nap ignoring hole' is the wordplay.
'nap' becomes 'doze' (dozing is a kind of napping).
'ignoring' suggests deleting specific letters.
'hole' becomes 'O'.
'doze' with 'o' taken out is 'dze'.
'a'+'dze'='ADZE'
'has' is the link.
(Other definitions for adze that I've seen before include "Woodworker's tool" , "tool for carpenter" , "Timber-shaping tool" , "Tool for shaping timber" , "Timber-trimming tool" .)