You want to prevent having to scrub too hard to remove dirt and debris, so sweep it up right away.
Linoleum is extremely sensitive to cleaners, including bleach or ammonia, so use gentle, non-abrasive cleaners instead.
To avoid scratches and excessive dampness, use soft, damp mops and cleaning instruments.
It's best to refinish your flooring once or twice a year to maintain them looking their best.
Linoleum is better served by sunlight, especially when it's yellowed by exposure to oxygen. If the floor is frequently cleaned with harsh detergents or hot water, this process can be further accelerated.