Overcast is the easiest light you will ever get. The cloud turns the whole sky into one enormous soft light source. It comes from everywhere at once, so there are no hard shadows, no blown highlights, no squinting, and it looks the same at eleven in the morning as it does at three in the afternoon. You can point your camera in any direction and the light will be fine.
Bright sun is so much harder.
There are of course some tradeoffs. The light can be a bit flat flat, so photos can feel a bit low in contrast, which you fix in about five seconds of editing. And a white sky is boring, so keep it out of frame if you need to. Use trees or buildings as your background, or fill the frame with the person.
A grey Tuesday is not a reason to leave the camera inside. It is one of the best days of the month to take it out.
What is the weather doing where you are right now, and were you planning to shoot today?