SPELUNKING MONKEY TIP!!
During your attempt at a speed run on this level. When you place your first BIG head on the rising/descending pillars. Place it on it like shown in the video. But instead of travelling to the right. Drop straight down, hold left and do a mid air jump left to land safely on the ledge below. This cuts down your time drastically and will give you so much more freedom throughout the level. I got 5:18 on my first attempt and I did this before I watched the video. Hope it helps any of you who find this level a bit challenging