Drunken sot, I see, showing no emotion (5)
I believe the answer is:
stoic
'showing no emotion' is the definition.
(I've seen this in another clue)
'drunken sot i see' is the wordplay.
'drunken' indicates an anagram.
'see' becomes 'C' (the word for the letter, according to Chambers).
'sot' with letters rearranged gives 'sto'.
'sto'+'i'+'c'='STOIC'
(Other definitions for stoic that I've seen before include "Uncomplaining in suffering" , "Long-suffering type; follower of Zeno" , "Greek in school" , "the original Zeno?" , "Someone seemingly indifferent to pleasure or pain" .)