If LMIA is cancelled then work permit is cancelled as permit is tied to the job.
Salute to the employers who have patience waiting then.The employer can certainly decide the job is no longer needed.
In that case you would need to find a new employer willing to give you a job offer and approved LMIA so that you can apply for a new closed work permit. Even if the original work permit is issued, you won't be able to use it to work for a different employer.