The call for the `renunciation of (all) voluntary associations with the (British) Government` was given during the Non-Cooperation Movement. This movement was a significant phase in the Indian freedom struggle, led by Mahatma Gandhi.

Option 1: Non-Cooperation Movement - This is the correct answer. The movement was launched in 1920 and aimed to boycott British goods and institutions, including giving up titles and positions in the British government.

Option 2: Civil Disobedience Movement - This movement was initiated in 1930 by Mahatma Gandhi, where people were encouraged to peacefully disobey British laws and participate in acts of civil disobedience. It was not directly associated with the call for renunciation of voluntary associations with the government.

Option 3: Quit India Movement - The Quit India Movement was launched in 1942 and called for the immediate withdrawal of the British from India. It did not specifically call for the renunciation of voluntary associations with the government.

Option 4: Protest against partition of Bengal - The protest against the partition of Bengal took place in 1905 and was not directly associated with the call for renunciation of voluntary associations with the government.

In conclusion, the correct answer is option 1, the Non-Cooperation Movement