I keep having to clear my throat. Is this related to my digestive health?

Possibly, yes. Clearing the throat can be a symptom of a few conditions: asthma, bronchitis, post-nasal drip, and gerd (gastroesophageal reflux disease). Your primary care doctor can help you to determine which may be the cause.
Maybe related. Constant throat clearing can be a symptom related to extra-esophageal reflux disease. This can be a silent symptom of gerd in about 50% of people suffering from reflux (meaning no heartburn). Other symptoms include chronic cough, hoarseness, throat mucus, feeling something sticking in your throat, or difficulty swallowing.