Tipsily teased for being sober (6)
I believe the answer is:
sedate
'being sober' is the definition.
(synonyms)
'tipsily teased' is the wordplay.
'tipsily' indicates anagramming the letters (in a drunk or tipsy way).
'teased' with letters rearranged gives 'SEDATE'.
'for' is the link.
(Other definitions for sedate that I've seen before include "Not very exciting" , "Calm and dignified in manner" , "Prim and proper" , "Staid and sober" , "Collected" .)