Lincoln runs provisions in eccentricity (10)
I believe the answer is:
aberration
'eccentricity' is the definition.
(I've seen this in another clue)
'lincoln runs provisions' is the wordplay.
'lincoln' becomes 'abe' (Abraham Lincoln).
'runs' becomes 'r' (cricket abbreviation).
'provisions' becomes 'ration' (I can't justify this - if you can you should give a lot more credence to this answer).
'abe'+'r'+'ration'='ABERRATION'
'in' acts as a link.
Can you help me to learn more?
(Other definitions for aberration that I've seen before include "Unwelcome deviation from normal" , "moral lapse" , "irregularity" , "mistake" , "Wandering" .)