A clincher tyre is very rarely seen nowadays, apart from on the wheels of vintage cars. A clincher tyre has a different bead / rim anchorage system in which the pressure inside the tyre holds the bead to the rim.
Diagram shows an old fashioned / vintage clincher tyre / rim assembly
Due to advances in tyre and wheel technologies this type of rim has been superceded on modern vehicles. The tyre is however sometimes seen on off-road mountain bikes!