Got up, finding unlimited kerosene (4)
I believe the answer is:
rose
'got up' is the definition.
(I've seen this before)
'unlimited kerosene' is the wordplay.
'unlimited' indicates the answer is hidden within the clue (the answer is currently being held or limited).
'ROSE' can be found hidden inside 'kerosene'.
'finding' acts as a link.
(Other definitions for rose that I've seen before include "was being promoted" , "sprang up" , "mounted" , "' a . . . ./By any other name would smell as sweet' (Shakespeare)" , "Old song 'The last . . . of summer'" .)