This was posted to Chickenbones Repository. I think it will have a higher chance of getting fixed if I post it here: Github Chickenbones Issue
Imgur

In general it can occur if you place microblocks or if you have Dynamic lights enabled and walk by with a torch (It reacts to lighting changes).

Would be nice if you could rollback a fix to 1.10 version. (This happens with the 1.4 version on MC 1.10).

Forge Microblocks (what you're using in that screenshot) uses Forge MultiPart, which isn't in any way related to MCMultiPart.
This is most likely a problem in their render pipeline but sadly I can't do anything about it, as none of my mods are even involved.