  We show that the Fra\"iss\'e limit of a category of unital separable
$C^*$-algebras which is sufficiently closed under tensor products of its
objects and morphisms is strongly self-absorbing, given that it has approximate
inner half-flip. We use this connection between Fra\"iss\'e limits and strongly
self-absorbing $C^*$-algebras to give a self-contained and rather elementary
proof for the well known fact that the Jiang-Su algebra is strongly
self-absorbing.
