Steaming out of river's current (7)
I believe the answer is:
topical
'current' is the definition.
('topical' can be similar in meaning to 'current')
'steaming out of river's' is the wordplay.
'steaming' becomes 'tropical' (steaming can mean extremely hot).
'out of' indicates named letters should be taken away.
'river' becomes 'r'.
'tropical' with 'r' taken away is 'TOPICAL'.
(Other definitions for topical that I've seen before include "Like The Sunday Times" , "Contemporary" , "Of interest at the present time" , "Dealing with current affairs" , "Some skin lotions are" .)