Slice the cucumber in half lengthwise. Using a small spoon, scrape out and discard the seeds to reduce the amount of moisture that could dilute the dip.
Finely grate the cucumber without removing its skin. Chop the fresh mint and dill, if using, and mince the garlic until fine.
Transfer the grated cucumber to a clean tea towel. Gather the towel securely around the cucumber and squeeze it firmly over the sink, removing as much liquid as possible. Proper draining is important for maintaining a thicker dip consistency.
Place the drained cucumber in a bowl along with the chopped mint, dill, and minced garlic. Add the cottage cheese, olive oil, and salt, then stir thoroughly until all ingredients are evenly incorporated.
Transfer the finished cottage cheese tzatziki dip to a serving bowl and serve as desired.