Your watch looks original and correct to me. The TWA import code is correct for a US watch, which matches the telemeter scale in miles for the US market. Tissot changed their logo from the script style to a sans-serif font in 1960, and continued with that logo throughout the 1960s. Most chronographs had the new logo by 1963, which corresponds to the "63" in the 808A63 reference for your watch.
The 1281 is the correct caliber (Tissot called it the 871); these came into use by Tissot around 1943. Not at all unusual to see chronographs sold 20 years after movement parts were made. If it helps ease your mind, there is a nice
808A62 for sale on the 'BayPurchases made through these links may earn this site a commission from the eBay Partner Network , a year earlier than yours with a movement number 1581151 that is only 373 before yours.
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