Points made by many a drunken sot (4)
I believe the answer is:
dots
'points' is the definition.
('dot' can be a synonym of 'point')
'by many a drunken sot' is the wordplay.
'by' means one lot of letters go next to another.
'many' becomes 'd' (Roman numeral for 500).
'a drunken' indicates anagramming the letters.
'sot' is an anagram of 'ots'.
'd'+'ots' is 'DOTS'.
'made' is the link.
(Other definitions for dots that I've seen before include "Tiny spots" , "Small marks" , "Tiny circles" , "Shorter signals in the Morse code" , "Tiny circular shapes" .)