Admit awareness of current learning (11)
I believe the answer is:
acknowledge
'admit awareness' is the definition.
'acknowledge' can be an answer for 'admit' (synonyms). I am not sure about the 'awareness' bit.
'current learning' is the wordplay.
'current' becomes 'ac' (alternating current).
'learning' becomes 'knowledge' (I've seen this before).
'ac'+'knowledge'='ACKNOWLEDGE'
'of' acts as a link.
(Other definitions for acknowledge that I've seen before include "Confirm (receipt)" , "Show recognition of" , "Confess" , "Express thanks for" , "Admit - recognise - thank" .)