Cave 3 done in 260 frames (from selecting the level on the world map to the first frame when Kururin looks happy).
The second wall clip used a similar method as in this Ghost Castle 1 wall clip: http://tasvideos.org/userfiles/info/52237142160912306
The few weird inputs before the second wall clipping were done for adjusting position.
This has been done with help from Kururin OOB view v1.4 (beta) available here: https://github.com/E-Sh4rk/KururinTAS
Savestate: world map on Cave 3.