In favour of training, right? Right (6)
I believe the answer is:
proper
'right' is the definition.
('proper' can be similar in meaning to 'right')
'in favour of training right?' is the wordplay.
'in favour of' becomes 'pro' (I've seen this before).
'training' becomes 'pe'.
'right?' becomes 'r' (common abbreviation).
'pro'+'pe'+'r'='PROPER'
(Other definitions for proper that I've seen before include "Suitable and correct" , "Appropriate description" , "Seemly" , "Correct; formal" , "well-behaved" .)