Cockney worker accepting dull job fast (8)
I believe the answer is:
anchored
'fast' is the definition.
(fast can mean secured)
'cockney worker accepting dull job' is the wordplay.
'cockney worker' becomes 'and' ('hand' - hand is a kind of worker - said with the 'H' dropped - a cockney accent.).
'accepting' is an insertion indicator.
'dull job' becomes 'chore' ('chore' can be a synonym of 'job'. I am not sure about the 'dull' bit.**).
'and' going around 'chore' is 'ANCHORED'.
(Other definitions for anchored that I've seen before include "With weight down, stuck in bed" , "Grounded, firmly fixed" , "Secured a vessel to the seabed" , "secure so?" , "Held securely in place like ship" .)