Weep about European record being unsettling (6)
I believe the answer is:
creepy
'being unsettling' is the definition.
(both can mean sinister)
'weep about european record' is the wordplay.
'weep' becomes 'cry' (synonyms).
'about' indicates putting letters inside.
'european' becomes 'E' (abbreviation e.g. EU).
'record' becomes 'ep' (abbreviation for extended play record).
'e'+'ep'='eep'
'cry' enclosing 'eep' is 'CREEPY'.
(Other definitions for creepy that I've seen before include "Likely to cause goose pimples" , "Spooky" , "horror" , "Causing feelings of fear or repulsion" , "Hair-raising" .)