It sounds like something inside the switch has broken. What is the year and model of your Beetle?
http://www2.cip1.com/?Click=30260 Has a turn signal switch for the 1971 Beetle for only $24.95 Part #VWC-111-953-513-C You can get 5% off by using our code "SBC" at the checkout. You'd probably have to pull the steering wheel to replace it, but it wouldn't be that difficult.
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