In cricket, the off side is one half of the field. A cricket field is notionally divided into two halves, along a line running down the long axis of the pitch. In normal batting stance, the striking batsman stands side on to the bowler. The off side is the half of the field in front of the batsman. The half of the field behind him is called the leg side.
Note that the definition is relative to the batsman. If the batsman were to directly face the bowler, the off side would be:
on the right side for a right-handed batsman, but
on the left side for a left-handed batsman.
This contrasts with terminology in baseball, in which left field is always to the left of the batter, while right field is always to the right.
Denoting the action of removing or separating; separation; as, to take off the hat or cloak; to cut off, to pare off, to clip off, to peel off, to tear off, to march off, to fly off, and the like.
Not on; away from; as, to be off one's legs or off the bed; two miles off the shore.
On the farther side; most distant; on the side of an animal or a team farthest from the driver when he is on foot; in the United States, the right side; as, the off horse or ox in a team, in distinction from the {nigh} or {near} horse or ox; the off leg.