The early Mooney had a wooden wing but went to metal in the early 60's.
my friend Stefano owns an early 1958 M20 with both wings and tail made of wood. Most M20 and M20A, the two models with wood wing and tail, have been modified by changing the tail from wood to metal after a few accidents due to wood rot that would not be visible and was undetected by the aiframe mechanics. My friend still has the wood tail but needs to perform strict load tests imposed by an AD issued after the accidents.
The real problem with wood, as someone already has pointed out, lies in the fact that there fewer and fewer wood masters out there who can really take of wood airplanes in the longer term. The wood master that my friend relies on worked on old Caproni planes, and has great experience with wood airframes and wings/tails.
While it's true that there quite a few modern machines such as the Pioneer 200 and 300 from Alpi Aviation, this is more of an exception than the rule. The Pioneers have their roots in the Asso series designed by Bepi Vidor, an italian wood artisan with great design skills. A lot of homebuilder from plans have built Asso planes in wood here in Italy. Not sure if the Asso series is known abroad.
Ciao, Luca