The crossword solution for the term 'increased excessively, with 'ON'' is 'PILED'. This term is used to describe a situation where something has been increased to an excessive degree. It is often used to describe a situation where something has been added to or stacked ON top of something else in order to create a large amount of it. For example, if someone were to pile ON extra layers of clothing in order to stay warm, they would be said to have 'piled ON' the clothing.