One space low pincer, one point jump and peep

A peep  

Uberdude: Connecting seems a good idea: Even A Moron Connects Against A Peep. I am not convinced black benefited from this exchange.

what now?  

Harleqin: Does Black have any sensible continuation?

what now?  

Bill: Diagonal attachment?

Harleqin: White would connect solidly now anyway, and then looks a bit stupid. I still prefer White, but less than without , so I guess that just connecting against is best.

simple connection  

tderz: Again, White should simply connect at , IMO.
Black's idea might be to separate by push a and induce White's bad push b, black c, however after White bending with d, I am not sure that White is weak.
We could investigate the usefulness of Black's hane x and White's cut y, then Black z. White should have positive aji m-n-o in the corner.

the induced bad push from behind  

tderz: White has also good cutting aji p-r-o,
however this would only proof, that Black should not jump to z, rather crawl on the 3rd line after having cut x-y.

simple connection  

tderz: or going directl for safety with s.th. like ?

simple connection  

tderz: Could it be that the starting point is too heavy and that one should retract to ?
Unlikely, is quite a basic Joseki move.

The hoshi variation  

With the hoshi things are easier at first sight as there is an easy way to live in the corner.

Hoshi peep at a later stage  

Here things seem to look easier as the marked stone is not as close as in the basic problem situation.