According to Dr Sharib:

Al-Wahhab is the One Who gives without being requested. The name is derived
from 'hiba', which means gift.

Emulation of the name implies giving without fear or favour, and without hope of
reward in this world or the next.

Appropriate invocation helps remove poverty and want. It can also make you
free from expecting anything from anyone.

see 'The 99 Most Beautiful Names of Allah' by Dr Zahurul Hassan Sharib

Some other references:

Referring to the 'men of understanding' the holy Qur'an says:

Al-Ghazali says:

'A gift is a present free from recompense and interests. If gifts with this
qualification are numerous, the one giving them is called a bestower......'

He points out that only God most high can give in such a way since when man
gives with a view to some benefit - it may be appreciation, release from blame or
to acquire distinction or mention then he seeks thereby to gain. When man
gives he gives because in some way it suits his purpose. Only the one who
gives not to secure paradise or from fear of hell or some other future gain, but
for the sake of God alone, is worthy to be called generous, and even he gives
to gain God's pleasure. Nevertheless that gain is not what most people
understand as gain so such a person may be said to be free from seeking gain.

(Al-Ghazali - The Ninety-nine Beautiful Names of God. Trans. Burrel/Daher: ITS: 1992.)

Lord Jesus said: "I give to you not as the world gives".

It is said that one should visit a person who has just returned from pilgrimage
because to do so is to gain some of the blessings given to that person . Among
the sufis this is the case when a person returns from attending the 'Urs of a
saint. The reason is that the person has, as it were, been dipped into the ocean
of God's Bounty. Thus for a while he becomes imbued with the (perhaps
unconscious) desire to be spiritually generous, not from any calculation of gain
but because those blessings flow from him whether he will or no.

Bismillah ir Rehman ir Rahim
The Bestower, The One Who Gives Freely Without
Thought of Compensation
Qur'an 3:8
"Our Lord!" (they say)
"Let not our hearts deviate
Now after Thou hast guided us,
But grant us mercy
From Thine own Presence;
For Thou art the Grantor
Of bounties without measure.
Rabbanaa laa tuzigh
quluu-banaa ba'-da 'iz
hadaytanaa wa hab lanaa
milladunka rahmah; 'innaka

(Qur'an 3:8)