Lieutenant Colonel Cleveland Edmund Greenway (29 October 1864 – 17 June 1934) was a British Army officer and amateur cricketer who played two first-class matches; one for Somerset County Cricket Club, and the other for the Marylebone Cricket Club.
| Format | Matches | Runs | Avg | 100s/50s | Top Score | Catches/St |
| First-class | 2 | 31 | 7.75 | 0/0 | 18 | 0/– |
