A tree overhead
Outdoors, honeydew from aphids in a tree overhead, such as a linden (lime) or Norway maple, coats leaves, paving and anything else beneath it, so the sticky plant below may not be infested at all.
A sticky film on the leaves points to honeydew: the sugary waste that sap-feeding insects excrete as they feed. Aphids, soft scales, mealybugs, whiteflies, psyllids and leafhoppers all produce it. Look above and on the undersides of the leaves, not just at the sticky patch: honeydew coats whatever lies beneath the feeders.
The rest of what gets called “sticky residue on plant leaves”. Some are pests we have not profiled yet; some are insects doing you a favour; some are not insects at all, and no treatment will help.
Outdoors, honeydew from aphids in a tree overhead, such as a linden (lime) or Norway maple, coats leaves, paving and anything else beneath it, so the sticky plant below may not be infested at all.
Hard scales whose cover lifts off and leaves the insect's body behind on the plant. They produce no honeydew, so if the leaves are sticky, this is not the only thing you have.
The black film that grows on honeydew after the fact. It is a consequence, not the cause: once the insects are reduced it gradually fades, and it washes off with water or soapy water.
Four questions about the damage separate these better than an appearance can, and this page answers some of them for you.