What would be a good way to use clustering for outlier detection?
A very robust clustering algorithm against outliers is PFCM from Bezdek.
In this paper Bezdek proposes Possibilistic-Fuzzy-C-Means which is an improvement of the different variations of fuzzy posibilistic clustering. This algorithm is particularly good at detecting outliers and avoiding them to influence the clusterization. So using PFCM you could find which points are identified as outliers and at the same time have a very robust fuzzy clustering of your data.