The 59-year-old Australian had posted a picture on his Instagram account earlier this week, showing him working on a tree with the equipment.
An accompanying message read: "Time to trim the sea grapes today. Never ask someone to do something that you can do yourself. Love to work!"
Norman, who won The Open Championship in 1986 and 1993, took to his Instagram account again late on Saturday, publishing a photo of himself in a hospital bed with a heavily bandaged left hand.
"Working with a chainsaw ALWAYS be respectful of the unexpected," he wrote.
"I was one lucky man. Damaged, but not down & out. Still have left hand."