suggestion about something—an idea proposed with respect to smth.:
- If you have a suggestion about how we can improve our service, we would like to know about it.
suggestion of something—
1. an indication of the presence or possibility of smth.:
- The word, though not uncommon even colloquially, has often a suggestion of archaism.
2. = suggestion about something:
- The book offers a suggestion of how existing strategic concepts can be adapted to the new world.