Tolerated air swing in awfully bad lie (10)
I believe the answer is:
admissible
'tolerated air' is the definition.
The answer and definition are different parts of speech. However, past participle verbs and adjectives can sometimes mean the same thing.
'swing in awfully bad lie' is the wordplay.
'swing' becomes 'miss' (I can't explain this - if you can you should give a lot more credence to this answer).
'in' is an insertion indicator.
'awfully' indicates an anagram.
'bad'+'lie'='badlie'
'badlie' is an anagram of 'adible'.
'miss' placed within 'adible' is 'ADMISSIBLE'.
Can you help me to learn more?
(Other definitions for admissible that I've seen before include "(As evidence in court) valid" , "Acceptable, valid" .)