1. the central point or most important part of something
everything pivots on getting the deal over the line
A pivot is a central point upon which something turns or rotates. A pivot can also be a person or thing that is an integral part of a community, situation or company. A pivot can refer to a person or position from which troops take as the reference point when moving. A pivot is also a move in basketball where a player who is in possession of the ball can move in any direction while keeping one foot in contact with the floor. As a verb to pivot can mean to turn or rotate. If something pivots on something else it means it depends on it.
2. turn, twist, or change
pivot to a new career
To pivot can mean to rotate or change direction as if on a pivot. This use can be literal or metaphorical.