You can simply turn the key off and then back on and it will restore power to the speedometer and odometer. That method absolutely works.
You'd need to be very careful to not lock the steering column on most cars. Additionally, besides the stress on the electronics that could shorten their life, you will wear out the ignition switch sooner.
You may have heard the saying, "You pays your money and you takes your chances." It applies here as well.
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