Groomer getting fix by the Cutty Sark? (4,7)

'groomer' is the definition.
(item for personal grooming)

'fix by the cutty sark?' is the wordplay.
I cannot quite understand how this works, but
'fix' could be 'nail' (I've seen this before) and 'nail' is found in the answer.
'by' could be 'per' (I've seen this in another clue) and 'per' is found within the answer.
The remaining letters 'clip' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

'getting' is the link.