3-4 point, high approach, ogeima
The ogeima answer to the 3-4 point, high approach is rare.
Database search (gobase) in a 10x10 quadrant reveals two games with a, one game with c and three games with tenuki.
The other contact play reverts to a 5-4 point joseki. The database search gives at a or b.
According to All About Joseki, the downside to instead of the usual play at is that now an invasion by white at y is less severe because a black play at z is sente, which would not be the case with at .
Cutting through the ogeima is not seen in pro play. The cross-cut - is inevitable. Then White has many options.
The simplest idea is to strengthen the weakest stone in the crosscut. Even though is blighted, the corner is big and Black has no eyes.