check rust programs (#4688)

ci/docker-rust-nightly/Dockerfile

@@ -3,6 +3,7 @@ ARG date
 
 RUN set -x \
  && rustup install nightly-$date \
+ && rustup component add clippy --toolchain=nightly-$date \
  && rustup show \
  && rustc --version \
  && cargo --version \

ci/docker-rust-nightly/README.md

@@ -15,12 +15,12 @@ To update the pinned version:
 1. Run `ci/docker-rust-nightly/build.sh` to rebuild the nightly image locally,
    or potentially `ci/docker-rust-nightly/build.sh YYYY-MM-DD` if there's a
    specific YYYY-MM-DD that is desired (default is today's build).
+1. Update `ci/rust-version.sh` to reflect the new nightly `YYY-MM-DD`
 1. Run `SOLANA_DOCKER_RUN_NOSETUID=1 ci/docker-run.sh --nopull solanalabs/rust-nightly:YYYY-MM-DD ci/test-coverage.sh`
    to confirm the new nightly image builds.  Fix any issues as needed
 1. Run `docker login` to enable pushing images to Docker Hub, if you're authorized.
 1. Run `CI=true ci/docker-rust-nightly/build.sh YYYY-MM-DD` to push the new nightly image to dockerhub.com.
-1. Modify the `solanalabs/rust-nightly:YYYY-MM-DD` reference in `ci/rust-version.sh` from the previous to
-   new *YYYY-MM-DD* value, send a PR with this change and any codebase adjustments needed.
+1. Send a PR with the `ci/rust-version.sh` change and any codebase adjustments needed.
 
 ## Troubleshooting