Hugs, mama! DD1 was clingy, but not to your LO's extreme. What worked for me was a period of slow steps towards independent play... as in I'd play with her, then watch her play with her toy the next day, then move a little bit farther away the next day, etc. for short periods of time. It took awhile, but DD learned how to be attached but independt of me for short periods of time.
Are you married? Can your DH play with your LO while you take a shower? We did that, it was rough at times on DH, but after a few days it was great.... and DD1 loves her time with her Daddy.