Clarke had three birdies and a double bogey in the final round and finished at 6-under 274 for the tournament in picking up his 13th career European Tour title.
Windy conditions took their toll and only two players other than Clarke broke par Sunday. They were also 1-under for the day.
Lynn shot a final-round 70, turning a card that included three birdies and three bogeys. It was a birdie at No. 16 that earned him a share of second.
Wood entered Sunday's play with a 4-stroke lead and was still ahead by four when Clarke had a 6 at the par-4, 307-yard 11th hole. But Wood had five bogeys over his last seven holes, shooting 6-over 76. Wood had eight bogeys and two birdies in the round.
Clarke, with a birdie at No. 3, was 1-under through 10 before the double bogey and moved into the lead with back-to-back birdies at Nos. 14 and 15.