In joint work with Sullivan we show that image of a Legendrian under a homeomorphism that is the C0-limit of contactomorphisms again is Legendrian, under the assumption that the image is smooth. This result follows from previously well-known rigidity results for Legendrians. In dimension three it can be proven by using the local Thurston-Bennequin inequality, while in arbitrary dimension it can be shown by using the non-existence of C0-small positive loops.