My current kernel (whatever is built into stock Froyo 2.2 ROM for Verizon Motorola Droid X) does NOT support swap memory.
Does CyanogenMod 7.2 kernel support swap memory? Does that depend on device-specific build?
The cyanogenmod team feels that swap doesn't serve it's purpose on an Android device:
This question is hotly debated, but you almost definitely do not need swap or compcache...
You can read all about it at the Swap and Compcache - CyanogenMod Wiki!
To answer you question directly, by default the swap and Compcache schemes are disabled, but if you still feel the need to use them, above link provides you with a how-to.
So, yes, the CyanogenMod 7.2 supports swap and its usage needs to be activated.
The swap and Compcache schemes usage depends on the device and its support for it.
As a side note, the CyanogenMod 7.x is Gingerbread-based not Froyo, as can be read here:
After 3 rounds of release candidates, and squashing a few more bugs in the stabilization branch of CyanogenMod 7, the newest stable iteration of the Gingerbread-based CM7 is now being released.