with a difference Definition

difference
noun

1. Something that makes one thing or person unlike another.

Thesaurus: dissimilarity, contrast, nonconformity, antithesis, inequality, diversity, variance; deviation, divergence, discrepancy; Antonym: uniformity, conformity.
2. The state of being unlike.
3. A change from an earlier state, etc.
4. The amount by which one quantity or number is greater or less than another.
5. A quarrel or disagreement.

Thesaurus: dispute, quarrel, conflict, dissent, dissension, debate, discord, argument, altercation, clash, controversy, contretemps; Antonym: agreement.

Idiom: make a difference (make no etc difference)

To have some or no, etc effect on a situation.
Thesaurus: matter, have an effect, affect.

Idiom: with a difference

With something special; in a special way.

Etymology: 14c: from Latin differentia.