Symptom
Fuzzy mould
Fuzzy growth is a fungus or water mould in fruiting mode. Grey fur on fruit is botrytis; grey-purple down under leaves is downy mildew; white fluff on compost is often harmless or damping off.
Where the fuzz is tells you most: on fruit, under leaves, or on the compost.
Likely causes
Ordered from the usual answer to the less likely one. Each links to the full problem.
Recorded on Cucumbers
Less likely on Cucumbers