T-Clock Redux is an enhanced fork of Stoic Joker's T-Clock 2010 with ISO week number support, bug fixes and the ability to use Windows' default calendar and tooltips.
T-Clock (called TClock), originally written by Kazubon in the early 90's, was a popular classic that was on the edge of extinction when Windows started going 64bit. ... Stoic Joker simply chose not to let that happen. And now it's up to us to continue their efforts.

T-Clock will allow you to "Use small taskbar buttons" and display both time and date.
Use
Once installed, enter clock or clock64 in the "Search" or "Run..." fields of the Start menu or in a "Command" window. Options are then available by right-clicking on the clock.