If you have suffered from cancer and recovered, I applaud your hard work and determination.
Unlike people that have not suffered from this ailment, you know the importance of life insurance because you know that life is not something to take for granted.
  The unexpected, can be expected, anytime.
The good news is that there are insurance companies that do accept people that have had cancer and will issue a standard policy with first day full benefits.
Being able to obtain a standard issue life insurance policy, if you are a cancer survivor, is dependent upon finding a company that will have underwriting requirements that either don't ask about your particular type of cancer or will only ask if you've had it within a certain period of time.
This varies by company and is generally 3, 5 or 10 years.
Skin cancer, such as minor skin blotches that only require outpatient treatment are normally disregarded by insurance underwriters.
In other words, that doesn't matter as it's common and generally is not life threatening.
Various companies will ask if you have had cancer...

• within the last year
• within the last 2 years
• within the last 3 years
• within the last 5 years
• within the last 10 years
• within the last 3 years, other than malignant forms of skin cancer

The only way to be able to know which company will accept you based on your survivorship requires either a lot of research, going through a very well educated insurance broker, or by using an online website that allows you to compare actual policy and underwriting requirements from several companies in one place.
The latter is the most convenient way to find a company that will best fit your needs, most conveniently.