In a large jar or airtight plastic container, soak thinly sliced ginger in vodka in a cool-room temp area for 10-12 days.
When desired spice intensity is reached (most of colour is leached out of the ginger), strain ginger out of liquid.
Heat honey, sugar, and water in a saucepan on med-low until all sugar is dissolved and the syrup just begins to simmer. Remove from heat and allow to cool.
Combine ginger infused vodka with 375ml of syrup solution and lemon juice. Add more syrup or lemon juice to taste. Store at room temperature in a closed jar or bottle.