Bishop, irrational, turning on craftsman from both sides (10)
I believe the answer is:
bipartisan
'from both sides' is the definition.
(I've seen this before)
'bishop irrational turning on craftsman' is the wordplay.
'bishop' becomes 'B' (chess abbreviation).
'irrational' becomes 'pi' (an irrational number).
'turning' shows that the letters should be reversed in order.
'on' means one lot of letters go next to another.
'craftsman' becomes 'artisan' (synonyms).
'pi' back-to-front is 'ip'.
'b'+'ip'+'artisan'='BIPARTISAN'
(Other definitions for bipartisan that I've seen before include "As is cooperation between two parties" , "Involving agreement across political divides" , "Like a coalition government" , "using both sides" , "Cooperative" .)