Carlyle disputed describing eastern ship sloppily (10)
I believe the answer is:
carelessly
'sloppily' is the definition.
(I've seen this before)
'carlyle disputed describing eastern ship' is the wordplay.
'disputed' indicates anagramming the letters.
'describing' is an insertion indicator (describe can mean to form the outline of).
'eastern' becomes 'e'.
'ship' becomes 'ss'.
'carlyle' is an anagram of 'carelly'.
'e'+'ss'='ess'
'carelly' enclosing 'ess' is 'CARELESSLY'.
(Other definitions for carelessly that I've seen before include "sloppily" , "without proper attention" , "Incautiously" , "Casually" , "Without a thought" .)