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to poke (repeatedly, lightly); to nudge
to peck at (one's food); to pick at
to peck at (someone's faults, etc.)
to egg on; to put up to
彼はペンで机を突っ突きながら考え込んでいた。
He was deep in thought while poking at the desk with his pen.
子供が注意を引くために友達を突っ突いた。
The child poked his friend to get attention.
彼は肩を軽く突っ突いて注意を促した。
He nudged my shoulder lightly to get my attention.