How can I gzip standard in to a file and also print standard in to standard out?

Question

I want to execute a command, have the output of that command get gzip\'d on the fly, and also echo/tee out the output of that command.

i.e., something like:

Answer 1

echo "hey hey, we're the monkees" | tee /dev/tty | gzip --stdout > my_log.gz

As pointed out in the comments, /dev/stdout might work better than /dev/tty in some circumstances.