People doing DIY are being urged to store their rubbish until household waste sites can reopen.
Devon County Council says crews have been clapped and had thank you notes left on bins - which they've appreciated.
But bosses say - because of the lockdown - extra waste is being put out for already stretched services to try and collect.
It comes as the MP for West Somerset says the closure of household waste sites has resulted in extra flytipping.
Ian Liddell-Grainger says he's had calls from farmers who're seeing items being dumped on their land.
Devon County Council say 'crews across Devon say they have been delighted with the level of public support shown to them in recent weeks, including pictures and thank you notes left on bins and outbreaks of spontaneous doorstep applause from appreciative residents.
"Devon County Council for its part says it is looking to reopen Household Waste Recycling Centres as soon as it is safe to do so and Government guidance permits.
"Until that time residents are urged to avoid having a spring declutter or undertake home improvements that may create extra waste."
Councillor Andrea Davis, Devon County Council’s Cabinet Member for Infrastructure, Development and Waste, added: “It’s understandable that people have more time on their hands and want to keep busy, but it does push extra waste onto already stretched services, especially as Recycling Centres remain closed.
“We are looking to re-open these facilities as soon as it is safe and government guidance allows.
“Until that time I ask that people to please be patient and store excess waste or wait until restrictions are lifted. It would help keep collection services running smoothly.
"It’s easy to generate more waste and recycling while we’re at home and it’s great to see that most people a continuing to recycle as much as possible and keep waste to manageable levels under difficult circumstances.
" I want to thank everyone for doing their bit and for supporting the crews as they continue the important task of collecting our rubbish and recycling.”
Bridgwater and West Somerset Conservative MP Ian Liddell-Grainger says he now is being inundated with phone calls from farmers reporting fly-tipping on verges and in gateways.
He says 'since less public risk is attached to going to a recycling centre than going into a supermarket it is time to relax the controls and re-open the centres again'.
He said: “Obviously we cannot immediately go back immediately to the way things were with virtually uncontrolled access to the sites.
“But it would be a simple matter for staff to strictly limit the number of vehicles allowed in at any one time and normal common sense would ensure people observed social distancing while they were using them.
“The risks to people using an open-fair facility such as a recycling centre would be minimal compared with mingling with shoppers in a supermarket.
“Fly-tipping is an appalling problem. Apart from being unsightly it can cause real harm to the environment and attract rat infestations.
“More than that, the burden of clearing most fly-tipped rubbish falls on district councils which are facing enough financial burdens as it is without having more costs heaped on them.”