The new wristwatch includes a wristwatch case including top and bottom parts and a watch movement within the case, a wristband including top and bottom band segments, each band segment having a first end part for engagement to the case and an opposite end part for engagement to the other band segment, and top and bottom coupling assemblies for releasably connecting the top and bottom parts of the case respectively to the top and bottom band segments, wherein the top coupling assembly includes an upper projection extending from the case top part, a recess formed in the first end part of the top band segment, the upper projection having height, width and depth dimensions adapted to fit into the recess, whereby the upper projection is essentially totally encompassed by the recess and invisible therein, and screw means adapted to engage and releasably join the first end part of the top band segment and the case top part. The bottom coupling assembly is similar to the top coupling assembly.