Akiñcanā-bhakti means without any motive. When one shall be ready to be exploited by Kṛṣṇa, then he's a devotee.
Lecture on SB 1.10.4 -- Mayapura, June 19, 1973: So actually when one becomes a devotee, he is qualitatively one with Kṛṣṇa. Because one cannot become devotee without acquiring the Kṛṣṇa qualities. You cannot go into the fire without being fire. Without being Brahman, you cannot approach Brahman. Just like if you want to be secretary of a very big man, so you must have necessary qualification. Not that any, any man can become secretary of a big man. So when one becomes devotee, it is the statement of śāstra: yasyāsti bhaktir bhagavaty akiñcanā... Akiñcanā-bhakti [SB 5.18.12]. Akiñcanā-bhakti means without any motive. That is akiñcanā-bhakti. "I'll become devotee because I'll get this opportunity to exploit Kṛṣṇa." That is not devotion. When one shall be ready to be exploited by Kṛṣṇa, then he's a devotee. Not that with a motive, that "I shall become a devotee and exploit Kṛṣṇa and Kṛṣṇa consciousness movement and aggravate my position as sense gratifier." No, that is not devotion.