Shows displeasure at the spilling of lagers (6)
I believe the answer is:
glares
'shows displeasure' is the definition.
(I've seen this in another clue)
'the spilling of lagers' is the wordplay.
'the spilling of' is an anagram indicator (I've seen 'spills' mean this).
'lagers' anagrammed gives 'GLARES'.
'at' acts as a link.
(Other definitions for glares that I've seen before include "Looks hotly and angrily" , "Angry stares" , "Stares angrily" .)