If not already done so, cut the flower tips off the feijoa skins. Cut into pieces.
Add the sugar and water to a pot and stir well.
Add cut feijoa skins and stir well.
Bring to boil. Reduce to a simmer, put a lid on the pot and simmer for thirty minutes, stirring occasionally.
Remove from heat and allow to cool. Add the lime juice. Strain through a fine sieve.
To drink dilute one part with about 3 parts water, depending on how strong you like your drink.
Store in a clean bottle in the fridge to up to five days or freeze in ice cubes for up to two months.