Caitanya Mahaprabhu has recommended that everyone chant the Hare Krishna mantra just to cleanse the dust from the heart. If the dust of the heart is cleansed away, then one can actually understand the importance of the holy name.
Nectar of Devotion, Chapter 12,
Any person who is chanting the holy names of Krishna (Hare Krishna, Hare Krishna, Krishna Krishna, Hare Hare/ Hare Rama, Hare Rama, Rama Rama, Hare Hare) in course of chanting without offenses feels some transcendental pleasure and very quickly becomes puriﬁed of all material contamination.
Bhagavat Gita 9.2,
The sound vibration of the Hare Krishna mantra, although presented in the ordinary alphabet, should not be taken as mundane or material.
Srimad bhagavatam 4.9.4,
Krishna is present fully in His holy name and this is realized by the humility and sincerity in our chanting.
The holy name of Krishna has extraordinary spiritual potency because the name of God is nondifferent from God Himself.
Sri Namamrita – The Nectar of the Holy Name,
It is the aspiration of a devotee that while he chants the Hare Krsna maha-mantra his eyes will fill with tears, his voice falter and his heart throb. These are good signs in chanting the holy name of the Lord.
Purport on Chaitanya Caritamrta Adi Lila 7.81