Broadcast very lively sport (11)
I believe the answer is:
showjumping
'sport' is the definition.
(showjumping is a kind of sport)
'broadcast very lively' is the wordplay.
'broadcast' becomes 'show' (I've seen this in another clue).
'very lively' becomes 'jumping' (I can't justify this - if you can you should give a lot more credence to this answer).
'show'+'jumping'='SHOWJUMPING'
Can you help me to learn more?
(Other definitions for showjumping that I've seen before include "Equestrian sport" , "Equestrian contest with fences etc" , "Equestrian event" , "Riding competition" , "sports event" .)