Yes, you might have heard of a 'cat nap' which is kind of similar, but it's not associated with work and we have other words to talk about sleep like 'snooze' or 'to nod off' and many others.
This is commonly known as the sleepy lizard because it's quite slow in its movements and spends quite a lot of its time dozing under rocks or lying in the Sun.
When Salvador Dali needed creative inspiration, he would relax on his sofa with keys in his hand and when he dozed off, the keys falling would wake him up.