Continue leading cheers at home (8)
I believe the answer is:
maintain
'continue' is the definition.
(I know that continue is a more specific form of maintain)
'leading cheers at home' is the wordplay.
'leading' becomes 'main' (I've seen this in another clue).
'cheers' becomes 'ta' (both can informally mean thank you).
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'main'+'ta'+'in'='MAINTAIN'
(Other definitions for maintain that I've seen before include "Keep in a certain state" , "Look after the upkeep" , "Keep (a building) in good condition" , "Keep - support" , "Preserve or insist" .)