The weird sensation in your lips can be due to an allergy in response to chemicals in soap and
detergents, or allergens. You can have swelling in lips
mouth, etc. other causes can be peripheral neuropathy, secondary to diabetes, Reynaud’s phenomenon, due to excess cold exposure or due to underlying connective tissue and autoimmune disorders, panic attack and low levels of calcium, potassium etc. Multiple sclerosis, herpes and leprosy need to be ruled out.