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Believe me there was an ounce of juice (and a tiny bit over) to be had from that small lime.
Drop the spent lime shells into the glass half of the shaker. Fill the steel half with crushed ice.
Assemble the shaker. When you do this make sure you squeeze the steel half ever-so-slightly and that you push and twist the glass half. This creates a seal. Important if you don't want to sprinkle any Mai-Tai all over the place.
Shake until you have a good frost -- not merely condensation -- on the outside of the steel half, then another 5 seconds. For those of you in arid climes, figure 30-45 seconds, total.
Retrieve your vessel from the recesses of the freezer, and pour through the strainer. It is very important you pour into fresh "dry" ice -- not dry ice, mind you.
Garnish with the spent lime shell (or some cherries, pineapple chunk, orange slice, etc.) and enjoy.