As for your situation, you can recover the lost contact on iPhone with iOS Data Recovery. Just follow the below steps to do that.
Step 1 Connect your iPhone 5c to the computer
So as to recover deleted contacts on iPhone 5c, you should free download Leawo iOS Data Recovery on your computer first, and run it on the computer, and then use a USB cable to connect your iPhone 5c to the PC.
Step 2 Start to scan your iPhone 5c
Once your device has been detected by the iPhone 5c contacts recovery program, a "Start" interface will show, just click "Start" to scan your iPhone 5c.
Step 3 Preview and choose contacts on iPhone 5c
The scanning will only last for several minutes, after scanning, you are able to see all the different types of files listed in neat categories on the left sidebar. By clicking "Only display the deleted items" option on the left corner of the interface, you'll see all the files that have been deleted from your iPhone 5c. Just click "Contacts" type to preview and then tick the single contacts you want to recover from iPhone 5c.
Step 4 Recover deleted contacts on iPhone 5c
After preview and selecting files, tap on "Recover" button on the right corner, then you'll see a pop-up window for you to choose saving location for the files. Click "Open" to browse the computer file explorer and choose a saving folder on your PC, then click "Go" to start to recover contacts from iPhone 5c.
This is just an example to show you how to recover deleted contacts from iPhone XS Max and other iPhone models directly. Actually, Leawo iOS Data Recovery could help you
recover deleted contacts from iTunes, and
retrieve contacts from iCloud as well.
For more methods, check:
How to Recover Contacts from iPhone
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