Got tiny piece of wood into small wound, very little bleeding. will it get infected though? it'd possible wood didn't even go inside

If wound is retained: could become infected. Wound Care-stop bleeding by applying pressure. Rinse w/ clean water. Clean surrounding skin w/ soap & water on washcloth. Remove debris w/ tweezers. If material remains in wound – seek medical care. Apply antibiotic ointment. Initially cover w/ bandage until some healing has occurred. Change bandage when soiled/wet or at least daily. Need tetanus shot if you haven't had one.

Wound: Wash liberally. The body will wall off any splinter. If no pain or tenderness in 2 days, then limited chance of infection.

If there is: a retined wooden foreign body then it most likely will become infected and should be removed by a physician.