Ivy doesn't cause a problem if kept under control. We have quite a few varieties growing in our garden and are a haven for wildlife. Bees love the flowers, beneficial insects live in it and birds nest in it. I have wrens and robins nesting in the ivy outside my office window
. The only problem this causes is distracting me from my work
Hedera helix (English Ivy) happens to be a very fast growing one once it's established. This can still be kept under control with little effort but you cannot afford to just ignore it and let it go. We trim its growth back three times a year (an easy task) and check the root growth a couple of times a year. We've been growing them here for over 40 years.
There are some really lovey varieties of variegated and golden ivies. Some are slow growing and quite attractive. The leaf size, depending on variety, can vary from 1" across to 9" across.
Ivy does not kill trees. It is not a parasite but just uses the tree as a support. It is wrongly thought to kill them because ivy prefers to climb trees that are already dying. This isn't because it can tell that the tree is sick but because the upper canopy of a sick tree is much thinner (tree unable to produce enough leaves) and therefore lets a lot more light in. This is why it climbs the tree.
This is a very good article, particularly about English ivy (most others are nowhere near as invasive but still need care and attention):-
https://www.rhs.org.uk/advice/profile?PID=192