They're of current interest when you name a new side (6)
I believe the answer is:
eddies
'they're of current interest when you' is the definition.
The definition suggests an adverb but the answer is not.
'name a new side' is the wordplay.
'name' becomes 'ed' (short for Edward).
'a new' indicates an anagram.
'side' is an anagram of 'dies'.
'ed'+'dies'='EDDIES'
Can you help me to learn more?
(Other definitions for eddies that I've seen before include "Flows in a circular current" , "Small water swirls" , "Counter-currents" , "They flow against the main stream" , "goes down the plughole" .)