Possible Clues:

• Possible battle with fussy kid over veg at duke’s grassland?
• Grassy area in UK holiday region protected by special gardener
• Gardeners working across wide grass-covered ground
• Literary name for grassy ground
• Common vegetables area produces
• Grassy area in politician’s part of constituency
• Electoral area undermining environmentalists is common
• Eco-politicians' electoral area? That's fresh turf
• Grassed area gardeners prepared round wicket
• Ancient grassland giving vegetables protection