I know it's already been answered, but I wanted to include my answer that I think works moderately well before including the second stanza.
Comes from the past but it won't last
Wall clocks have been around for centuries. Nicer clocks often become antique items and/or are considered family heirlooms and passed down for many years but will eventually wear out and cease functioning.
It might shine first but it will rust
Without proper maintenance, the mechanisms in a clock can gather moisture, rust, and seize up.
Ideally, there are three friends he can trust
They keep him busy, so it won't gather dust
Also related to the title -- wall clocks are often weight-driven, the larger ones with three weights. While traditionally cylindrical, ball weights also exist. The slow descent of the weights can keep a clock running for several days at a time.
It still (kind of almost) works with the second stanza, with the exception of a pretty specific line.
It both stays and moves
If it obeys the rules
The pendulum and weights keep the gears moving, but the clock stays in place.
A genius baby proves
Yeah, I got nothing for this one.
When he gently pulls
To wind the clock, you pull the chain for each weight.