Sibby is the romantic and or friendship pairing of Sam Puckett and Gibby Gibson (S/am and G/ibby). Very rarely is it called Gam, (G/ibby and S/am). Arjun ships this!
These two appear to be very good friends. (But sometimes Sam bullies Gibby) In iWin a Date, Sam even tried to help Gibby get the girl he really liked (showing that she must care about his happiness and, in some way, him).
Gibby asked Sam to the school dance once, which might mean that he had a crush on her. Being Sam, however, she broke Gibby's thumb.
However, in a later episode (iSpeed Date), Sam seemed to change her mind, because she wanted to go to a school dance with Gibby, and she asked him to go with her over and over again.