Threw lime a long way (4)
I believe the answer is:
mile
'a long way' is the definition.
(I've seen this in other clues)
'threw lime' is the wordplay.
'threw' indicates an anagram (I've seen 'thrown' mean this).
'lime' is an anagram of 'MILE'.
(Other definitions for mile that I've seen before include "'A miss is as good as a ....'" , "1.61km" , "Measure" , "Distance race" , "Stretch of road" .)