We've just had a far too rare visit from our local Jay in our garden. A lovely bird but very shy. He doesn't seem to like squirrels very much though given by the crawing he was giving one that was too close to him,
Jays are usually quite wary birds, although I used to get one watching me in the garden for some reason. They become more noticeable when the leaves have gone from the trees. They can be quite busy at this time of year making their caches of acorns etc.
Jay also used to be a term for a showy woman.