With which a fencer may score record points? (4)
I believe the answer is:
epee
'with which a fencer may score' is the definition.
(sword used in fencing)
'record points?' is the wordplay.
'record' becomes 'EP' (abbreviation for extended play record).
'points?' becomes 'ee' (an abbreviation for a compass point written twice).
'ep'+'ee'='EPEE'
(Other definitions for epee that I've seen before include "Fighting blade" , "Foil for riposte" , "Sharp-pointed duelling sword" , "Fencer's sword" , "there's a point to it" .)