That's not true. There were active hostilities throughout the 1950's. The occasional artillery bombardment of the Taiwanese island of Kinmen occurred for many decades afterwards.
Here's a map showing Quemoy and Matsu.
(your calling Quemoy island Kinmen suggests
a. You're not from around here.
b. You received your information thru Red Chinese sources
c. You might be a PRC troll...you wouldn't be the first)