Dramatic technique encountered doing chat, strangely (6,6)
I believe the answer is:
method acting
'dramatic technique' is the definition.
(method acting is an acting technique)
'encountered doing chat strangely' is the wordplay.
'encountered' becomes 'met' ('meet' can be a synonym of 'encounter').
'strangely' indicates anagramming the letters.
'doing'+'chat'='doingchat'
'doingchat' with letters rearranged gives 'hodacting'.
'met'+'hodacting'='METHOD ACTING'
(Another definition for method acting that I've seen is " Stage technique of total identification with role".)