Today's competition? (3,4)
I believe the answer is:
rat race
'today's competition?' is the definition.
'rat race' can be an answer for 'competition?' (I've seen this before). I'm not certain of the 'today's' bit.
'today's competition?' is the wordplay.
'today's' becomes 'rat' (I can't justify this - if you can you should believe this answer much more).
'competition?' becomes 'race' (race is a kind of competition).
'rat'+'race'='RAT-RACE'
Can you help me to learn more?
(Other definitions for rat race that I've seen before include "Competition for power" , "Rare cat (anag.)" , "unhealthy competition" , "Competitive dash" , "Continual round of hectic competition" .)