I would like to have a list of outstanding payment requests in the app (both incoming and outgoing).
While it is much easier to make payments in Monzo, you may have to wait until pay day to have the funds to send or you see a request but are busy and intent to do it later and then forget.
If there were a place in the app where requests were captured, it would be a closed loop system. A pervasive app icon notification could stick around if you have unpaid requests 
(or at least until you decide not to pay and swipe the request away)