Evenin' all.
Horse that flew past, say, like you and I = pegasus. It's the PEG bit I can't see.
In Paris I'll readily cooperate with others = -A-L (Deal says Roy).
Economist in Durham area has outstanding solutions = Keynes. I've heard of Milton Keynes but can't figure 'outstanding solutions'.
Oral sensor works best for everyone inside a bit = taste bud. I'm guessing BEST+TAD but how do we get the U?
The answer to this clue is 'burrow' - "Where Peter disappears in urban area, some say...". The next clue is - "... to small shack" = shut. S for small, Hut for shack I suppose but what's the clue about??
Many thanks.