Shed tears over English record. Weird! (6)
I believe the answer is:
creepy
'weird' is the definition.
(I've seen this before)
'shed tears over english record' is the wordplay.
'shed tears' becomes 'cry' (I've seen this in other clues).
'over' is an insertion indicator.
'english' becomes 'e' (abbreviation).
'record' becomes 'EP' (abbreviation for extended play record).
'e'+'ep'='eep'
'cry' going around 'eep' is 'CREEPY'.
(Other definitions for creepy that I've seen before include "Not wholesome" , "Annoying and unpleasant" , "Spooky" , "Threatening" , "Likely to cause goose pimples" .)