Place your chopped cucumber and jalapeño in a cocktail shaker. Add 1 oz. triple sec to the cocktail shaker. Muddle all of the ingredients with a muddler.
Once everything is muddled together really well, add ice to the cocktail shaker.
Add 2 shots (3 oz.) tequila to the cocktail shaker.
Squeeze the juice of 1 lime into the cocktail shaker.
Shake everything up for about 1 minute. You want to make sure to shake it really well!
Coat the rim of your glass with Tajin seasoning. Add ice to the glass after coating the rim.
Strain the contents of the cocktail shaker into the glass.
Garnish with extra cucumber and jalapeño slices as you see fit.