1
general::
Phrase(s): splinter off ((of) something) [and] splinter off (from something)
[for a bit of something] to tear off or separate from something. (Of is usually retained before pronouns.) • A piece of wood splintered off of the oar and dropped into the water. • A tiny bit splintered off and stuck in my hand.
McGrawhill's American Idioms And Phrasal Verbs