A couple of English relatives are into chess and being irreverent (10)
I believe the answer is:
cheekiness
'and being irreverent' is the definition.
I can't judge whether this defines the answer.
'a couple of english relatives are into chess' is the wordplay.
'a couple of' shows that letters should be duplicated.
'english' becomes 'E' (abbreviation).
'relatives' becomes 'kin' (I've seen this before).
'are into' is an insertion indicator.
'e' duplicated is 'ee'.
'ee'+'kin'='eekin'
'eekin' put within 'chess' is 'CHEEKINESS'.
Can you help me to learn more?
(Other definitions for cheekiness that I've seen before include "Having nerve" , "Audacity" , "Impudence" .)