Tusky for Android does it.

https://mastodon.social/@taylorlorenz/109565436163660592
taylorlorenz@mastodon.social - Journalists will never stick around this app long term sadly unless it adds quote posting. We desperately need it to communicate effectively, build on each others ideas, and add crucial context to posts. These are things replies simply do not accomplish. Also quote posting or reblogging does not = harassment! Tumblr, for instance, has had the feature since the beginning. We need it here now too 🙏🏻