Hello jnlyn5,
Thank you for using the Apple Support Communities!
The following articles will be helpful in troubleshooting the problem of not receiving the verification code you need on your iPhone to activate iCloud Keychain on your Mac.
Get help using iCloud Keychain
Be sure to check this section:
If you didn't receive the verification code via SMS
- Make sure that you have a strong cellular network connection on your phone.
- Make sure that your phone number can get SMS messages. To check, ask someone to send you a text message.
- Make sure that the correct phone number is associated with your account:
- On your iPhone, iPad, or iPod touch, tap Settings > iCloud > Keychain > Advanced. (In iOS 7, tap Settings > iCloud > Account > Keychain.) Make sure the phone number under Verification Number is correct. If not, enter another phone number.
- On your Mac, choose Apple menu > System Preferences. Click iCloud, then click Options next to Keychain. (In OS X Mavericks or earlier, click iCloud, then click Account Details.) Make sure the phone number under Verification number is correct. If not, enter another phone number.
More information about iCloud Keychain can be found here:
Frequently asked questions about iCloud Keychain
Have a great day!