Combine all of the ingredients in a food processor: the ham, yogurt, celery, pickles, and chives (if using). Pulse in 5-second bursts, scraping down the sides of the bowl as necessary, until the texture is chunky but spreadable. Blend less if you prefer a chunkier texture.
Serve as a dip with crackers or use as a filling for a sandwich.
Notes
You can use leftover spiral ham, or purchase a "ham steak", which is often sold in 8-ounce packages.
TO STORE: Refrigerate ham salad in an airtight storage container for up to 4 days.
TO FREEZE: I don’t recommend freezing ham salad, as the texture of the celery will suffer and if you use mayo, it’s likely to separate.