Sloshed Mr Beal to go on and on (6)
I believe the answer is:
ramble
'go on and on' is the definition.
(I've seen this in another clue)
'sloshed mr beal' is the wordplay.
'sloshed' indicates an anagram.
'mr'+'beal'='mrbeal'
'mrbeal' anagrammed gives 'RAMBLE'.
'to' acts as a link.
(Other definitions for ramble that I've seen before include "Walk; be discursive" , "Go as fancy leads" , "Leisurely walk" , "Walk as leisure activity" , "Walk for pleasure or stray from subject" .)