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I am learning how to cook Japanese and Thai food. Some of us have just begun apprenticeship. My master (an experienced cook. He was from Middlesbrough) taught me how to make sushi more than several times, but I just failed to do it. He did not blame me but told me to practise it more.
I told him
Thank you for your kindness, master. I will do my best and keep practising. Time will tell you that I am a good cook.
The correct proverb is "(Only) time will tell", not time will tell you.
It means that you will know the outcome, truth, or correctness of something after a period of time or sooner or later. For examples:
I don't know if their marriage will be successful. Only time will tell.
Only time will tell whether we made the right decision.
Time will tell you that I am a good cook.
Time will tell is an idiom/well-known phrase, but it sounds weird to me to use it to express a definite or expected future event. You can use it to express something that you are not sure will happen:
Time will tell whether or not I am a good cook.
Taken literally, time is not something that "tells" other than when the above idiom is used, so saying something like Time will tell you X doesn't sound right.
But, you are trying to say that you will be a good cook in the future. So you should use in time instead:
In time, you'll see that I'm a good cook.
In time, you'll see me become a good cook.
It is an idiom:
Prov. You will only know the outcome after time has passed.
So in your case it is correct but it is better if you remove "you" from the sentence:
(Only) time will tell that I am a good cook.
