At home, European language broadcast is controlled (2,5)
I believe the answer is:
in check
'is controlled' is the definition.
(to keep in check is to control)
'at home european language broadcast' is the wordplay.
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'european language' becomes 'czech' (language of the Czech Republic).
'broadcast' shows a homophone (sound like) (how the word might sound on the radio or TV).
'czech' is a homophone of 'check'.
'in'+'check'='IN CHECK'
(Other definitions for in check that I've seen before include "Attacked" , "State of chess king under direct attack" , "Restrained" , "Under control" .)