Request that may see enjoyment cut by half? (4)
I believe the answer is:
plea
'request' is the definition.
(I know that plea is a type of appeal)
'enjoyment cut by half?' is the wordplay.
'enjoyment' becomes 'pleasure' (I've seen this before).
'cut by half?' suggests halving the letters.
'pleasure' with half the letters taken is 'PLEA'.
'that may see' is the link.
(Other definitions for plea that I've seen before include "Statement in court" , "Petition or supplication" , "Negotiation between prosecutor and defendant" , "Urgent entreaty" , "Urgent request" .)