I would think that you probably get enough of them at work...
But I also think you may have a very narrow definition.
I consider it a chase when any of these are true:
- both parties are aware of each other and one is moving to evade and the other is moving to engage
- after engagement, party a attempts to flee and party b decides not to let them get away, taking more than a single round of movement
- the goal of the scene is to cover x ground previously covered by being(s) y before deadline z
- Hunting is often a chase unless totally abstracted
- following a trail is often a chase.
- the map can be reduced to a single line with both parties moving the same direction along it.
Not all of those would invoke specific chase
mechanics... indeed, of the hundreds of games I've run, only the most recent decade's seem to have specific chase mechanics