1. Subtly trying to find out if a family member is dtf without destroying your relationship if they are not.
2. Portmanteau of Incest and Instigate. Putting two or more people who are related in naughty situations to see if they'll go for eachother.
1. John: Dude that girl Annie was all over your dick, why didn't you tap that?
Bobby: She's my cousin! There's no way shes into me, besides her mom would kill us!
John: I think it's time for an incestigation. Be a more flirty, maybe take a walk together.
Annie: Ugh... I flirted with my cousin Bobby to get him to buy us beer and now he's being all weird and gross.
Rita: You went too far girl, he thought you were serious!
Annie: You're right this has all the signs of an incestigating. I gotta reject him ASAP!
2. John: Man I'm so pissed at Bobby for ruining my chances I'm going to incestigate him and Annie just to fuck with him.
The undercover investigative element of the British Royal Military Police. An organisation that is supposed to blend into the wider military community to mirror the effect that CID provide to civil police. In reality it is populated by a bunch of barely literate mouth breathers who spend all day taking screenshots of Facebook and being outsmarted by even the slowest witted squaddie. Most likely military group to be Swingers.
In Special Investigation Branch office:
SIB: "Look sunshine, we know you did it, confess or else"
Perp: "I didn't do it"
SIB: "Oh, you sure? Well, you'd better get out of here, we'll be watching you"
Perp: "L8rs"