Earthmovers removing sleepers and rubbish (4)
I believe the answer is:
bull
'rubbish' is the definition.
(both can mean nonsense)
'earthmovers removing sleepers' is the wordplay.
'earthmovers' becomes 'bulldozers' (vehicles for moving earth or soil).
'removing' indicates named letters should be taken away.
'sleepers' becomes 'dozers' (people dozing or sleeping).
'bulldozers' with 'dozers' removed is 'BULL'.
'and' is the link.
(Other definitions for bull that I've seen before include "Slangy lies from an ox?" , "Animal on target?" , "Male animal" , "Male walrus" , "Dartboard's centre" .)