Tory pursuits lie around avoiding notice (15)
I believe the answer is:
surreptitiously
'avoiding notice' is the definition.
I can't tell whether this defines the answer.
'tory pursuits lie around' is the wordplay.
'around' is an anagram indicator.
'tory'+'pursuits'+'lie'='torypursuitslie'
'torypursuitslie' with letters rearranged gives 'SURREPTITIOUSLY'.
Can you help me to learn more?
(Other definitions for surreptitiously that I've seen before include "in secret?" , "not 14 [OVERTLY]" .)