This petition was rejected

The Government e-Petitions Team gave the following reason:

Employers are not allowed to stop workers employed under a zero hours contract from working for another employer by putting an "exclusivity clause" in their contract: www.gov.uk/government/publications/zero-hours-contracts-guidance-for-employers/zero-hours-contracts-guidance-for-employers#exclusivity-clauses

If someone has two jobs and neither income is above their personal allowance, they can already apply to HMRC to have their personal allowance split between their jobs: www.moneyadviceservice.org.uk/en/articles/pay-and-tax-when-working-in-more-than-one-job

We have published a petition calling on the Government to give financial help to agency and zero hour workers during COVID-19 outbreak, which you might like to sign: petition.parliament.uk/petitions/301328

You can find out more about coronavirus and how you can protect yourself and others here:

www.gov.uk/coronavirus
www.nhs.uk/conditions/coronavirus-covid-19/

You can read NHS tips to help if you are worried about coronavirus here: www.nhs.uk/oneyou/every-mind-matters/coronavirus-covid-19-anxiety-tips

You can read impartial analysis of the Government response to coronavirus and policy developments here:
commonslibrary.parliament.uk/coronavirus/

You may also be interested to know that because of the large number of petitions that have been started in relation to coronavirus, the Petitions Committee has been questioning the Government about its response to the coronavirus outbreak.
 
Find out more and watch the Committee put questions suggested by petitioners to Government Ministers and the Deputy Chief Medical Officer: committees.parliament.uk/committee/326/petitions-committee/news/145767/committee-question-deputy-chief-medical-officer-and-ministers-on-coronavirus-response/
 
Read letters asking further questions of Government Ministers: committees.parliament.uk/committee/326/petitions-committee/publications/3/correspondence/