As well as liking their house to be permanently clean, a neat freak likes to have every element of their life tidy and in order. Unlike people with OCD neat freaks do not repetitively and obsessively clean things but they also can get upset when something is out of order because order equals control, hence security.
Jill is such a neat freak! She cleans her house thoroughly every day and also irons all her kids' clothes. They always look clean and tidy.