This is not overprotection, not "clingy" and not weakness. This is love. It can be different: friendly, romantic, parental... but the essence is the same - a person sincerely feels responsible for you. Sometimes even more than for themselves.
Such people are not always loud. They do not post every emotion on social networks, do not say: "I am ready to do everything for you" - they just act. Silently, tenderly, devotedly. This could be a friend who notices that you are sad and invites you for coffee. A grandmother who asks for the third time if you are cold. Or he... who, pretending to be indifferent, follows the weather forecast in your city.
Love is not always about "wings on your back" and fireworks. Sometimes it is an eternally charged phone, in case you suddenly call.
So the next time someone is "too" worried about you - do not brush it off. It is not a pestering. It is their way of saying:
"You are dear to me. I am here. And I will not leave."