To make the syrup, in a medium saucepan bring water, ginger, sugar and honey to a simmer. Immediately remove from heat as soon as the sugar dissolves. With a hand held blender puree, (it didn't completely puree for me but it was fine). Strain through a fine sieve into a measuring cup. Discard the ginger. Let cool. Pour into a container with a lid and store in the refrigerator for up to 9 days.

Mix garnish ingredients together.

To make the cocktail, fill a shaker full of ice. Rim a glass with the garnish (you may want to wet the rim first with a pineapple chunk) and fill with ice. Add the pineapple chunks to the shaker reserving one chunk for garnish and muddle with a wooden spoon until the juice escapes from the pineapple. Add the syrup, lime juice and tequila to the shaker and shake vigorously 12 times. Strain over the ice and garnish with the reserved pineapple chunk.