Well established equestrian centre (6)
I believe the answer is:
stable
This clue might be a double definition.
'well established' is the first definition.
'stable' can be an answer for 'established' (thesaurus). I'm not sure about the 'well' bit.
'equestrian centre' is the second definition.
Can you help me to learn more?
(Other definitions for stable that I've seen before include "Animal accommodation is steady" , "Fixed; secure" , "Steady place for a horse?" , "Horse accommodation" , "Durable; horse shed" .)