The traditional design task for students with 74 series logic is usually a less ambitious digital dice 1-6, 0-5, 0-F you choose 7 segment or LED.
People do it - usually to replace worn out or damaged components on antique clocks. It is quite relaxing making your own gear wheels with single point tooling if a bit tedious towards the end.
Not only that but the 16877 has just enough output pins to direct drive a 4 segment LCD display and draws a grand total of 10uA at 3v on a 32kHz watch crystal. Digital trimming the crystal to get exact seconds is handy to avoid having any manual trimmer adjustments too.
Regards, Martin Brown