We have a plant spreading across a gravel covered bed. It is my intention to plant ground cover here and wonder if I can keep this plant. My neighbour says it is very aggressive and will grow into brick work (the bed is along side our house), could you help with identification and advice, please? We are in the East Midlands, UK.
It is a Cymbalaria, maybe a Cymbalaria muralis: https://en.wikipedia.org/wiki/Cymbalaria
For the second part (advice), assuming it is a Cymbalaria muralis. AFAIK she is not a competitive plant, but she can live in dry places (muralis = walls) where few other plants could live, so she will not invade other places. I have her in many walls, but it seems she is not to causing any problems with roots.
EDITED: added second paragraph.
The flower looks very much like skullcap, which has a distinctive oddball insect looking form like your plant. Its also a member of the mint family which would make it an agressive spreader. However most all scullcaps have very matte leaves, not shiny at all, and covered with a lacework of veins. I looked around at various skullcaps though and the plant and its leaf forms is pretty variable and there were a couple shiny varietes. Its the flower that makes me think its a skullcap, but this is little more than a guess. Maybe this will lead someone else here to the right species of skullcap.