When one spanks the monkey or gets a handy in the reverse grip of your normal jerkoff session. (Your fingers face upward instead of down) also known as a TSH or TSM
1
Kid A: I was late to school because my mom was giving me a Texas Style Handjob!
Kid B: That explains the hold up in the carpool lane

2
Whenever I choke the chicken I like to go Texas Style because it feels better
by HeyCouldYouLendMeAHandyRealQui September 15, 2010
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