No one argues, that digital logic is indeed analoh, however you rarely see reliance on a passive element (in analog sense), to be "active" in a digital sense. DRAM is the only widely known example.
This technique is referred to as "dynamic logic". It was common in the early days of MOS ICs -- for instance, it was used extensively in the original 6502 -- and still finds some usage in high-performance ICs.
In logic circuits class they don't talk about areal constraints, but IC designers have to think about such things.